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Home » Behind the Plans: The Ultimate Woodwork Coffee Furniture DIY Guide! - Esdistancia

Behind the Plans: The Ultimate Woodwork Coffee Furniture DIY Guide! - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 Express \( w \) in terms of \( l \):

📌 w = 50 - l

📌 Substitute into the area formula:

📌 A = l(50 - l) = 50l - l^2

📌 This is a quadratic function \( A(l) = -l^2 + 50l \), which is a downward-opening parabola. The maximum area occurs at the vertex:

📌 l = -\frac{b}{2a} = -\frac{50}{2(-1)} = 25

📌 Substitute back to find \( w \):

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